aramutselv

2021-12-27

Evaluate the indefinite integral.

$\int \frac{2{x}^{2}+x}{{(4{x}^{3}+3{x}^{2})}^{2}}dx$

recoronarrv

Beginner2021-12-28Added 20 answers

Step 1

The given integral is,

Using the substitution method, let

on differentiating with respect to x on both side of the equation, we get

Therefore, the given integral becomes,

Step 2

Using the power rule of integration, on solving the given integral, we get

On putting back the value of t, we get

Therefore, the expression of the given integral is

Chanell Sanborn

Beginner2021-12-29Added 41 answers

Lets

Vasquez

Expert2022-01-07Added 669 answers

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